In general probably not. Our headphone hole diameter is approximately .3 inches and will easily fit the apple headphones.
If you would like to use larger headphones you can simply use an adapter which can be readily found for under $10. We recommend searching "iPod Headphone Adapter" on amazon.com.
We now have a Grove Dock for iPhone that will work with our cases! We can't speak for other docks since we haven't tested them, however, a lot of docks will not work with most hard cases, including Grove's. If you are having trouble with using your Grove case on a third party dock, you can look into some adapters available called "dock extenders".